Given two numbers represented by two lists, write a function that returns the sum list. The sum list is list representation of the addition of two input numbers.
List1: 5->6->3 // represents number 365
List2: 8->4->2 // represents number 248
Resultant list: 3->1->6 // represents number 613
Explanation: 365 + 248 = 613
List1: 7->5->9->4->6 // represents number 64957
List2: 8->4 // represents number 48
Resultant list: 5->0->0->5->6 // represents number 65005
Explanation: 64957 + 48 = 65005
Approach: Traverse both lists and One by one pick nodes of both lists and add the values. If the sum is more than 10 then make carry as 1 and reduce sum. If one list has more elements than the other then consider remaining values of this list as 0.
The steps are:
- Traverse the two linked lists from start to end
- Add the two digits each from respective linked lists.
- If one of the list has reached the end then take 0 as its digit.
- Continue it until both the lists end.
- If the sum of two digits is greater than 9 then set carry as 1 and the current digit as sum % 10
Below is the implementation of this approach.
First List is 7 5 9 4 6 Second List is 8 4 Resultant list is 5 0 0 5 6
- Time Complexity: O(m + n), where m and n are number of nodes in first and second lists respectively.
The lists needs to be traversed only once.
- Space Complexity: O(m + n).
A temporary linked list is needed to store the output number
Related Article: Add two numbers represented by linked lists | Set 2
Please write comments if you find the above codes/algorithms incorrect, or find other ways to solve the same problem.
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